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Finding the Fourth Proportional to 1,166.30, 1,749.61 and 344.47

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Solution

The fourth proportional to 1,166.30, 1,749.61 and 344.47 is: 516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.30 : 1,749.61 = 344.47 : x
  2. Step 2: Convert to fraction form
    1,166.30/1,749.61 = 344.47/x
  3. Step 3: Cross multiply
    1,166.30x = 1,749.61 × 344.47
  4. Step 4: Simplify right side
    1,166.30x = 602,679.41
  5. Step 5: Solve for x
    x = 602,679.41/1,166.30
  6. Step 6: Final answer
    x = 516.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.